Abstract
In this paper, performance-based optimization design of steel concrete composite moment resistance frames is presented using a chaotic optimization algorithm based on Chebyshev chaotic map. The strategy is applied to two examples of an 8-story frame and a 20-story frame. The structure is designed to respond to different levels of seismic hazard levels for the minimization of total weight. To achieve this goal, three main steps are conducted. In the first step, the five best designs for each of the frames were obtained by solving the optimization problem. Nonlinear pushover analysis was conducted to arrive at each performance level. In the next step, the fragility curves are plotted for five selected designs for each frame, and finally, damage margin ratios were calculated for each damage level and the best design for each frame was selected based on the damage margin ratio values. Results illustrate a desirable performance of the algorithms in both obtaining lower weight and selecting the best design based on the seismic behavior of the structure.
Similar content being viewed by others
References
Kaveh A (2017) Advances in metaheuristic algorithms for optimal design of structures, 2nd edn. Springer, Switzerland
Fragiadakis M, Lagaros ND (2011) An overview to structural seismic design optimization frameworks. Comput Struct 89(11–12):1155–1165. https://doi.org/10.1016/j.compstruc.2010.10.021
Idels O, Lavan O (2020) Performance based formal optimized seismic design of steel moment resisting frames. Comput Struct 235:106269. https://doi.org/10.1016/j.compstruc.2020.106269
Hajirasouliha I, Asadi P, Pilakoutas K (2012) An efficient performance-based seismic design method for reinforced concrete frames. Earthq Eng Struct D 41(4):663–679. https://doi.org/10.1002/eqe.1150
Sung YC, Su CK (2010) Fuzzy genetic optimization on performance-based seismic design of reinforced concrete bridge piers with single-column type. Optim Eng 11(3):471–496. https://doi.org/10.1007/s11081-009-9092-4
Kaveh A, Laknejadi K, Alinejad B (2012) Performance-based multi-objective optimization of large steel structures. Acta Mech 223(2):355–369. https://doi.org/10.1007/s00707-011-0564-1
Kaveh A, Kalateh-Ahani M, Fahimi-Farzam M (2014) Life-cycle cost optimization of steel moment-frame structures: performance-based seismic design approach. Earthq Struct 7(3):271–294. https://doi.org/10.12989/eas.2014.7.3.271
Liu Z, Atamturktur S, Juang CH (2013) Performance based robust design optimization of steel moment resisting frames. J Constr Steel Res 89:165–174. https://doi.org/10.1016/j.jcsr.2013.07.011
Saadat S, Camp CV, Pezeshk S (2014) Seismic performance-based design optimization considering direct economic loss and direct social loss. Eng Struct 76:193–201. https://doi.org/10.1016/j.engstruct.2014.07.008
Li Y, Conte JP, Gill PE (2019) Probabilistic performance-based optimum seismic design framework: illustration and validation. CMES-COMP Model Eng 120(3):517–543. https://doi.org/10.32604/cmes.2019.06269
Yazdani H, Khatibinia M, Gharehbaghi S, Hatami K (2017) Probabilistic performance-based optimum seismic design of RC structures considering soil–structure interaction effects. ASCE ASME J Risk Uncertain Eng Syst 3(2):G4016004. https://doi.org/10.1061/AJRUA6.0000880
Degertekin SO, Tutar H, Lamberti L (2020) School-based optimization for performance-based optimum seismic design of steel frames. Eng Comput. https://doi.org/10.1007/s00366-020-00993-1
McKinstray R, Lim JB, Tanyimboh TT, Phan DT, Sha W (2015) Optimal design of long-span steel portal frames using fabricated beams. J Construct Steel Res 104:104–114. https://doi.org/10.1016/j.jcsr.2014.10.010
Fazli H (2019) Optimal performance-based seismic design of composite building frames with RC columns and steel beams. Int J Optim Civil Eng 9(4):611–628
Shimoda M, Liu Y, Wakasa M (2020) Free-form optimization method for frame structures aiming at controlling time-dependent responses. Struct Multidiscip Optim 17:1–9. https://doi.org/10.1007/s00158-020-02708-y
Papavasileiou GS, Charmpis DC (2016) Seismic design optimization of multi–storey steel–concrete composite buildings. Comput Struct 170:49–61. https://doi.org/10.1016/j.compstruc.2016.03.010
Artar M, Daloglu AT (2015) Optimum design of composite steel frames with semi-rigid connections and column bases via genetic algorithm. Steel Compos Struct 19(4):1035–1053. https://doi.org/10.1016/j.compstruc.2016.03.010
FEMA-356 (2000) Prestandard and commentary for the seismic rehabilitation of buildings, Federal Emergency Management Agency, Washington DC, USA
OpenSees: Open system for earthquake engineering simulation. McKenna F, Fenves GL, Scott MH, Jeremic B, Pacific Earthquake Engineering Research Center, Berkeley University, California http://opensees.berkeley.edu/
AISC-American Institute of Steel Construction (2001) Load and resistance factor design
FEMA-P695 (2009), Quantification of building seismic performance factors. Redwood City Applied Technology Council, USA
Fattahi F, Gholizadeh S (2019) Seismic fragility assessment of optimally designed steel moment frames. Eng Struct 179:37–51. https://doi.org/10.1016/j.engstruct.2018.10.075
Kaveh A, Javadi SM (2019) Chaos-based firefly algorithms for optimization of cyclically large-size braced steel domes with multiple frequency constraints. Comput Struct 214:28–39. https://doi.org/10.1016/j.compstruc.2019.01.006
Kaveh A, Mahdipour Moghanni R, Javadi SM (2019) Optimum design of large steel skeletal structures using chaotic firefly optimization algorithm based on the Gaussian map. Struct Multidiscip Optim 60(3):879–894. https://doi.org/10.1007/s00158-019-02263-1
Kaveh A, Javadi SM, Mahdipour Moghanni R (2020) Optimal structural control of tall buildings using tuned mass dampers via chaotic optimization algorithm. Structures 28:2704–2713. https://doi.org/10.1016/j.istruc.2020.11.002
Feng J, Zhang J, Zhu X, Lian W (2017) A novel chaos optimization algorithm. Multimed Tools Appl 76(16):17405–17436. https://doi.org/10.1007/s11042-016-3907-z
Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68. https://doi.org/10.1177/003754970107600201
Baltzopoulos G, Baraschino R, Iervolino I, Vamvatsikos D (2017) SPO2FRAG: software for seismic fragility assessment based on static pushover. Bull Eartq Eng 15(10):4399–4425. https://doi.org/10.1007/s10518-017-0145-3
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
No potential conflict of interest was reported by the authors.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kaveh, A., Mahdipour Moghanni, R. & Javadi, S.M. Chaotic optimization algorithm for performance-based optimization design of composite moment frames. Engineering with Computers 38, 2729–2741 (2022). https://doi.org/10.1007/s00366-020-01244-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-020-01244-z